Lines & Planes in 3D — Multivariable Calculus скачать в хорошем качестве

Lines & Planes in 3D — Multivariable Calculus

In this video, we explore lines and planes in three-dimensional space using vectors. We begin by briefly reviewing lines in two dimensions, then extend those ideas to 3D using vector equations. From there, we introduce planes as geometric objects generated by multiple directions. The focus is on understanding the geometry behind the equations — how direction vectors, parameters, and normal vectors describe objects in space. Lines and planes form the foundation of multivariable calculus, and understanding them makes later topics like vector-valued functions and surfaces feel much more connected. In the next video, we’ll shift our perspective and begin studying vector-valued functions, which allow us to describe motion and curves in space. Until next time — let’s keep things simply connected.